Math, asked by fionagjoca12, 10 months ago

The ratio of the sum of the measures of the interior angles to the sum of the measures of the exterior angles in a regular polygon is 7. How many sides does the polygon have?

Answers

Answered by Anonymous
1

Answer: Let the polygon has x sides.

Sum of all exterior angles= 360

Each exterior angle = 360/x

Each Interior angle = 180 - 360/x

Sum of all interior angles = x*( 180-360/x)

= 180x -360

Given:( 180x-360)/360 = 7

So, x = 8*360/180 = 16

Step-by-step explanation:

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